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kkurt [141]
4 years ago
12

Please help me with this math problem.

Mathematics
1 answer:
Katena32 [7]4 years ago
3 0

Answer:

19/4

Step-by-step explanation:

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Which item is more economical?
iVinArrow [24]
The correct answer is: <span>a $100,000 life insurance policy at $0.55 per $1000 per month (more economical)

</span>
Explanation:

(1)<span>a $100,000 life insurance policy at $0.55 per $1000 per month

It means:
$0.55*100*12  = $660 [There are 100 thousands in $100000 and there are 12 months in the year]

(2)</span><span>a $100,000 life insurance policy at $170 per quarter.

It means:
$170*4 = $680 [There are 4 quarters in a year]

As $680 > $660 therefore Option (A) is the economical option.</span>
5 0
3 years ago
A submarine travels N45 W 16 miles. It then turns a course of 216 measured clockwise off of due north and travels until it is du
lozanna [386]

Answer:

19.5 miles

Step-by-step explanation:

The question is represented in the image attached.

∠A = 45°, ∠B = 45° + (216° - 180°) = 81°

∠A + ∠B + ∠C = 180° (sum of angles in a triangle)

45° + 81° + ∠C = 180°

126 + ∠C = 180

∠C = 180 - 126

∠C = 54°

The sine rule states that for a triangle with sides a, b, c and their corresponding opposite angles A, B and C. The following rule holds:

\frac{a}{sin(A)}= \frac{b}{sin(B)}= \frac{c}{sin(C)}

b = length of beginning of submarine to end point. Using sine rule:

\frac{b}{sin(81)} =\frac{16}{sin(54)} \\\\b=\frac{16}{sin(54)}*sin(81)\\\\b=19.5\ miles

7 0
3 years ago
Work out the lengths of side a and side b 8cm and 5 cm 1 triangle 17cm and 12 cm on the other triangle pythagoras
Viktor [21]

Answer:

a = 9.4 cm

b = 12.0 cm

Step-by-step explanation:

Check the image uploaded for diagram;

For the first diagram, side length a is calculated as follows;

a² = 8²  +  5²

a² = 64  +  25

a² = 89

a = √89

a = 9.4 cm ( approximated to 1 decimal place)

For the second diagram, side length b is calculated as follows;

b² = 17²  -  12²

b² = 145

b = √145

b = 12.0 cm (approximated to 1 decimal place)

3 0
3 years ago
YA
Lana71 [14]

Answer:

C.

Step-by-step explanation:

3 0
3 years ago
Y=-16x²+197x+84 in vortex form​
Luden [163]

Answer:

(197/32,44185,64)

5 0
3 years ago
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